Finite Group Databasebeta

← C59×#35095 #28447204

Subgroups — C59×#35095 #28447204

Order 15104.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#538C211yesmaximal, characteristic, complemented
2C2×C4×#41×C59C211yesmaximal, characteristic, complemented
3C59×#2854C211yesmaximal, characteristic, complemented
4C59×#2853C211yesmaximal, characteristic, complemented
5C59×#2852C211yesmaximal, characteristic, complemented
6C59×#2850C211yesmaximal, characteristic, complemented
7C59×#2637C211yesmaximal, characteristic, complemented
8C59×#2635C211yesmaximal, characteristic, complemented
9C59×#2632C211yesmaximal, characteristic, complemented
10C59×#2630C211yesmaximal, characteristic, complemented
11C59×#2479C211yesmaximal, characteristic, complemented
12C59×#2476C211yesmaximal, characteristic, complemented
13C59×#2474C211yesmaximal, characteristic, complemented
14C59×#2471C211yesmaximal, characteristic, complemented
15C59×#2469C211yesmaximal, characteristic, complemented
16C59×#2464C211yesmaximal, characteristic, complemented
17C59×#2461C211yesmaximal, characteristic, complemented
18C59×#2458C211yesmaximal, characteristic, complemented
19C59×#2449C211yesmaximal, characteristic, complemented
20C59×#2443C211yesmaximal, characteristic, complemented
21C59×#2438C211yesmaximal, characteristic, complemented
22C59×#2430C211yesmaximal, characteristic, complemented
23C59×#2424C211yesmaximal, characteristic, complemented
24C59×#2418C211yesmaximal, characteristic, complemented
25C59×#2411C211yesmaximal, characteristic, complemented
26C59×#2404C211yesmaximal, characteristic, complemented
27C59×#2325C211yesmaximal, characteristic, complemented
28C59×#2321C211yesmaximal, characteristic, complemented
29C59×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C59C211yesmaximal, characteristic, complemented
31C2×C59×#388C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic
33C59×#538—28no—
34C2×#126×C59C2211yescharacteristic
35C2×#126×C59C2211yescharacteristic
36C2×#124×C59C2211yescharacteristic
37C2×#124×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic
40C2×#123×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×#123×C59C2211yescharacteristic, complemented
43C2×C22⋊Q8×C59C2211yescharacteristic
44C2×C22⋊Q8×C59C2211yescharacteristic, complemented
45C2×#121×C59C2211yescharacteristic
46C2×#121×C59C2211yescharacteristic
47C2×#121×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
49C2×#121×C59C2211yescharacteristic
50C2×#120×C59C2211yescharacteristic
51C2×#120×C59C2211yescharacteristic
52C2×#120×C59C2211yescharacteristic
53C4×#41×C59—28no—
54C2×C4×Q8×C59C2211yescharacteristic, complemented
55C2×C4×Q8×C59C2211yescharacteristic, complemented
56C2×C4×D4×C59C2211yescharacteristic
57C2×C4×D4×C59C2211yescharacteristic
58C2×C4×D4×C59C2211yescharacteristic
59C2×C4×D4×C59C2211yescharacteristic
60C2×C4×D4×C59C2211yescharacteristic
61C2×C4×D4×C59C2211yescharacteristic, complemented
62C2×C4×D4×C59C2211yescharacteristic, complemented
63C2×#117×C59C2211yescharacteristic
64C2×#117×C59C2211yescharacteristic, complemented
65C2×#117×C59C2211yescharacteristic, complemented
66C22×C4⋊C4×C59C2211yescharacteristic
67C22×C22⋊C4×C59C2211yescharacteristic
68C22×C22⋊C4×C59C2211yescharacteristic
69C22×C22⋊C4×C59C2211yescharacteristic
70C22×C42×C59C2211yescharacteristic
71C22×C42×C59C2211yescharacteristic, complemented
72C22×C42×C59C2211yescharacteristic, complemented
73C59×#400C2211yescharacteristic, complemented
74C59×#399C2211yescharacteristic
75C59×#399C2211yescharacteristic, complemented
76C59×#399C2211yescharacteristic, complemented
77C59×#398C2211yescharacteristic, complemented
78C59×#398C2211yescharacteristic, complemented
79C59×#398C2211yescharacteristic, complemented
80C59×#398C2211yescharacteristic, complemented
81C59×#397C2211yescharacteristic
82C59×#397C2211yescharacteristic, complemented
83C59×#396C2211yescharacteristic
84C59×#396C2211yescharacteristic
85C59×#396C2211yescharacteristic
86C59×#396C2211yescharacteristic, complemented
87C59×#395C2211yescharacteristic, complemented
88C59×#395C2211yescharacteristic, complemented
89C59×#395C2211yescharacteristic, complemented
90C59×#394C2211yescharacteristic
91C59×#394C2211yescharacteristic
92C59×#394C2211yescharacteristic
93C59×#394C2211yescharacteristic
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic, complemented
97C59×#394C2211yescharacteristic, complemented
98C59×#393C2211yescharacteristic
99C59×#393C2211yescharacteristic
100C59×#393C2211yescharacteristic, complemented
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic
104C59×#392C2211yescharacteristic, complemented
105C59×#391C2211yescharacteristic, complemented
106C59×#390C2211yescharacteristic
107C59×#390C2211yescharacteristic
108C59×#390C2211yescharacteristic
109C59×#390C2211yescharacteristic
110C59×#390C2211yescharacteristic
111C59×#389C2211yescharacteristic, complemented
112C59×#389C2211yescharacteristic, complemented
113C59×#388C2211yescharacteristic
114C59×#388C2211yescharacteristic
115C59×#388C2211yescharacteristic
116C59×#388C2211yescharacteristic
117C59×#388C2211yescharacteristic
118C59×#388C2211yescharacteristic
119C59×#388C2211yescharacteristic
120C59×#388C2211yescharacteristic
121C59×#388C2211yescharacteristic
122C59×#388C2211yescharacteristic
123C59×#388C2211yescharacteristic
124C59×#388C2211yescharacteristic
125C59×#388C2211yescharacteristic
126C59×#388C2211yescharacteristic
127C59×#388C2211yescharacteristic
128C59×#388C2211yescharacteristic
129C59×#388C2211yescharacteristic
130C59×#388C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic, complemented
132C59×#388C2211yescharacteristic, complemented
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#388C2211yescharacteristic, complemented
136C59×#388C2211yescharacteristic, complemented
137C59×#387C2211yescharacteristic, complemented
138C59×#387C2211yescharacteristic, complemented
139C59×#387C2211yescharacteristic, complemented
140C59×#387C2211yescharacteristic, complemented
141C59×#387C2211yescharacteristic, complemented
142C59×#387C2211yescharacteristic, complemented
143C59×#387C2211yescharacteristic, complemented
144C59×#387C2211yescharacteristic, complemented
145C59×#387C2211yescharacteristic, complemented
146C59×#387C2211yescharacteristic, complemented
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic
154C59×#386C2211yescharacteristic
155C59×#386C2211yescharacteristic
156C59×#386C2211yescharacteristic
157C59×#386C2211yescharacteristic
158C59×#386C2211yescharacteristic
159C59×#386C2211yescharacteristic
160C59×#386C2211yescharacteristic
161C59×#386C2211yescharacteristic, complemented
162C59×#386C2211yescharacteristic, complemented
163C59×#386C2211yescharacteristic, complemented
164C59×#386C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic
166C59×#385C2211yescharacteristic
167C59×#385C2211yescharacteristic
168C59×#385C2211yescharacteristic
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#385C2211yescharacteristic, complemented
172C59×#385C2211yescharacteristic, complemented
173C59×#385C2211yescharacteristic, complemented
174C59×#385C2211yescharacteristic, complemented
175C59×#383C2211yescharacteristic, complemented
176C59×#382C2211yescharacteristic, complemented
177C59×#381C2211yescharacteristic
178C59×#381C2211yescharacteristic, complemented
179C59×#380C2211yescharacteristic
180C59×#380C2211yescharacteristic, complemented
181C59×#379C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C4⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C2×#95×C59C2211yescharacteristic
188C2×#95×C59C2211yescharacteristic
189C25×C59C2311yescharacteristic
190C2×#41×C59—24no—
191C2×#41×C59—24no—
192C2×#41×C59—24no—
193C22×Q8×C59C2311yescharacteristic
194C22×Q8×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C22×D4×C59C2311yescharacteristic
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2311yescharacteristic
209C23×C4×C59C2311yescharacteristic
210C23×C4×C59C2311yescharacteristic
211C23×C4×C59C2311yescharacteristic
212C23×C4×C59C2311yescharacteristic
213C23×C4×C59C2311yescharacteristic
214C23×C4×C59C2311yescharacteristic
215C23×C4×C59C2311yescharacteristic
216C23×C4×C59C2311yescharacteristic
217C23×C4×C59C2311yescharacteristic
218C23×C4×C59C2311yescharacteristic
219C23×C4×C59C2311yescharacteristic
220#126×C59—24no—
221#126×C59—24no—
222#124×C59—24no—
223#124×C59—24no—
224#123×C59—24no—
225#123×C59—24no—
226#123×C59—24no—
227#123×C59—42no—
228#123×C59—42no—
229C22⋊Q8×C59—24no—
230C22⋊Q8×C59—42no—
231#121×C59—24no—
232#121×C59—24no—
233#121×C59—24no—
234#121×C59—24no—
235#121×C59—42no—
236#120×C59—24no—
237#120×C59—24no—
238#120×C59—24no—
239C4×Q8×C59—24no—
240C4×Q8×C59—24no—
241C4×D4×C59—24no—
242C4×D4×C59—24no—
243C4×D4×C59—24no—
244C4×D4×C59—24no—
245C4×D4×C59—24no—
246C4×D4×C59—24no—
247C4×D4×C59D418yescomplemented
248#117×C59—24no—
249#117×C59—24no—
250#117×C59—24no—
251C2×C4⋊C4×C59—42no—
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C4⋊C4×C59C2311yescharacteristic
269C2×C4⋊C4×C59C2311yescharacteristic
270C2×C4⋊C4×C59C2311yescharacteristic
271C2×C4⋊C4×C59C2311yescharacteristic
272C2×C4⋊C4×C59C2311yescharacteristic
273C2×C4⋊C4×C59C2311yescharacteristic
274C2×C4⋊C4×C59C2311yescharacteristic
275C2×C4⋊C4×C59C2311yescharacteristic
276C2×C4⋊C4×C59C2311yescharacteristic
277C2×C4⋊C4×C59C2311yescharacteristic
278C2×C4⋊C4×C59C2311yescharacteristic
279C2×C4⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59—24no—
281C2×C22⋊C4×C59—24no—
282C2×C22⋊C4×C59—42no—
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×C22⋊C4×C59C2311yescharacteristic
318C2×C22⋊C4×C59C2311yescharacteristic
319C2×C22⋊C4×C59C2311yescharacteristic
320C2×C22⋊C4×C59C2311yescharacteristic
321C2×C22⋊C4×C59C2311yescharacteristic
322C2×C22⋊C4×C59C2311yescharacteristic
323C2×C22⋊C4×C59C2311yescharacteristic
324C2×C22⋊C4×C59C2311yescharacteristic
325C2×C22⋊C4×C59C2311yescharacteristic
326C2×C22⋊C4×C59C2311yescharacteristic
327C2×C22⋊C4×C59C2311yescharacteristic
328C2×C22⋊C4×C59C2311yescharacteristic
329C2×C22⋊C4×C59C2311yescharacteristic
330C2×C22⋊C4×C59C2311yescharacteristic
331C2×C22⋊C4×C59C2311yescharacteristic
332C2×C22⋊C4×C59C2311yescharacteristic
333C2×C42×C59—24no—
334C2×C42×C59—24no—
335C2×C42×C59—24no—
336C2×C42×C59C2311yescharacteristic
337C2×C42×C59C2311yescharacteristic
338C2×C42×C59C2311yescharacteristic
339C2×C42×C59C2311yescharacteristic
340C2×C42×C59C2311yescharacteristic
341C2×C42×C59C2311yescharacteristic
342C2×C42×C59C2311yescharacteristic
343C2×C42×C59C2311yescharacteristic
344C2×C42×C59C2311yescharacteristic
345C2×C42×C59C2311yescharacteristic
346C2×C42×C59C2311yescharacteristic
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59—22no—
386C24×C59—22no—
387C24×C59—22no—
388C24×C59—41no—
389C24×C59—41no—
390C24×C59—41no—
391C24×C59—41no—
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C24×C59C2411yescharacteristic
397C24×C59C2411yescharacteristic
398#41×C59—232no—
399C2×Q8×C59—22no—
400C2×Q8×C59—22no—
401C2×Q8×C59—22no—
402C2×Q8×C59—22no—
403C2×Q8×C59—41no—
404C2×Q8×C59—41no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59C2×D414yes—
440C2×D4×C59#4114yes—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—22no—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—22no—
460C22×C4×C59—41no—
461C22×C4×C59—41no—
462C22×C4×C59—41no—
463C22×C4×C59—41no—
464C22×C4×C59—41no—
465C22×C4×C59—41no—
466C22×C4×C59—41no—
467C22×C4×C59—41no—
468C22×C4×C59—41no—
469C22×C4×C59—41no—
470C22×C4×C59—41no—
471C22×C4×C59—41no—
472C22×C4×C59—41no—
473C22×C4×C59—41no—
474C22×C4×C59—41no—
475C22×C4×C59—41no—
476C22×C4×C59—41no—
477C22×C4×C59C2×D414yes—
478C22×C4×C59C2×D414yes—
479C22×C4×C59#4114yes—
480C22×C4×C59C2411yescharacteristic
481C22×C4×C59C2411yescharacteristic
482C22×C4×C59C2411yescharacteristic
483C22×C4×C59C2411yescharacteristic
484C22×C4×C59C2411yescharacteristic
485C22×C4×C59C2411yescharacteristic
486C22×C4×C59C2411yescharacteristic
487C22×C4×C59C2411yescharacteristic
488C22×C4×C59C2411yescharacteristic
489C22×C4×C59C2411yescharacteristic
490C22×C4×C59C2411yescharacteristic
491C22×C4×C59C2411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C4⋊C4×C59—22no—
506C4⋊C4×C59—22no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—22no—
511C4⋊C4×C59—22no—
512C4⋊C4×C59—22no—
513C4⋊C4×C59—22no—
514C4⋊C4×C59—22no—
515C4⋊C4×C59—22no—
516C4⋊C4×C59—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—41no—
522C4⋊C4×C59—41no—
523C4⋊C4×C59—41no—
524C4⋊C4×C59—41no—
525C4⋊C4×C59—41no—
526C4⋊C4×C59—41no—
527C4⋊C4×C59—41no—
528C4⋊C4×C59—41no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59—41no—
531C4⋊C4×C59—41no—
532C4⋊C4×C59C2×D414yes—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—22no—
560C22⋊C4×C59—22no—
561C22⋊C4×C59—22no—
562C22⋊C4×C59—22no—
563C22⋊C4×C59—22no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59—41no—
571C22⋊C4×C59—41no—
572C22⋊C4×C59—41no—
573C22⋊C4×C59—41no—
574C22⋊C4×C59—41no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C22⋊C4×C59—41no—
581C22⋊C4×C59C2×D414yes—
582C22⋊C4×C59C2×D414yes—
583C42×C59—22no—
584C42×C59—22no—
585C42×C59—22no—
586C42×C59—22no—
587C42×C59—22no—
588C42×C59—22no—
589C42×C59—22no—
590C42×C59—22no—
591C42×C59—22no—
592C42×C59—22no—
593C42×C59—41no—
594C42×C59—41no—
595C42×C59C2×D414yes—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59—44no—
636C23×C59—82no—
637C23×C59—82no—
638C23×C59—82no—
639C23×C59—82no—
640C23×C59C22×D412yes—
641C23×C59C22×D412yes—
642C23×C59C2×#4112yes—
643C23×C59C2×#4112yes—
644C23×C59C2×#4112yes—
645C23×C59C2511yescharacteristic
646Q8×C59—28no—
647Q8×C59—82no—
648D4×C59—28no—
649D4×C59—28no—
650D4×C59—28no—
651D4×C59—44no—
652D4×C59—82no—
653D4×C59—82no—
654D4×C59—82no—
655D4×C59—82no—
656D4×C59—82no—
657D4×C59—82no—
658D4×C59—82no—
659D4×C59—82no—
660C2×C4×C59—28no—
661C2×C4×C59—28no—
662C2×C4×C59—28no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—44no—
730C2×C4×C59—44no—
731C2×C4×C59—44no—
732C2×C4×C59—44no—
733C2×C4×C59—44no—
734C2×C4×C59—44no—
735C2×C4×C59—44no—
736C2×C4×C59—82no—
737C2×C4×C59—82no—
738C2×C4×C59—82no—
739C2×C4×C59C22×D412yes—
740C2×C4×C59C22×D412yes—
741C2×C4×C59C22×D412yes—
742C2×C4×C59C22×D412yes—
743C2×C4×C59C22×D412yes—
744C2×C4×C59C2×#4112yes—
745C2×C4×C59C2×#4112yes—
746C2×C4×C59C2×#4112yes—
747C2×C4×C59H(5,𝔽2)12yes—
748#35095C5911yesmaximal, characteristic, direct product factor, Sylow
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—22no—
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—88no—
791C22×C59#52514yes—
792C22×C59C23×D411yescharacteristic
793C22×C59C22×#4111yescharacteristic
794C22×C59C22×#4111yescharacteristic
795C22×C59C2×H(5,𝔽2)11yescharacteristic
796C22×C59#58511yescharacteristic
797C22×C59#58511yescharacteristic
798C22×C59#58511yescharacteristic
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—22no—
804C4×C59—22no—
805C4×C59—22no—
806C4×C59—22no—
807C4×C59—22no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C2×#538C2×C5911yescharacteristic, complemented
825C2×C4×#41C2×C5911yescharacteristic, complemented
826#2854C2×C5911yescharacteristic, complemented
827#2853C2×C5911yescharacteristic, complemented
828#2852C2×C5911yescharacteristic, complemented
829#2850C2×C5911yescharacteristic, complemented
830#2637C2×C5911yescharacteristic, complemented
831#2635C2×C5911yescharacteristic, complemented
832#2632C2×C5911yescharacteristic, complemented
833#2630C2×C5911yescharacteristic, complemented
834#2479C2×C5911yescharacteristic, complemented
835#2476C2×C5911yescharacteristic, complemented
836#2474C2×C5911yescharacteristic, complemented
837#2471C2×C5911yescharacteristic, complemented
838#2469C2×C5911yescharacteristic, complemented
839#2464C2×C5911yescharacteristic, complemented
840#2461C2×C5911yescharacteristic, complemented
841#2458C2×C5911yescharacteristic, complemented
842#2449C2×C5911yescharacteristic, complemented
843#2443C2×C5911yescharacteristic, complemented
844#2438C2×C5911yescharacteristic, complemented
845#2430C2×C5911yescharacteristic, complemented
846#2424C2×C5911yescharacteristic, complemented
847#2418C2×C5911yescharacteristic, complemented
848#2411C2×C5911yescharacteristic, complemented
849#2404C2×C5911yescharacteristic, complemented
850#2325C2×C5911yescharacteristic, complemented
851#2321C2×C5911yescharacteristic, complemented
852#2318C2×C5911yescharacteristic, complemented
853C4×#123C2×C5911yescharacteristic, complemented
854C2×#388C2×C5911yescharacteristic, complemented
855C2×C59—24no—
856C2×C59—42no—
857C2×C59—42no—
858C2×C59—81no—
859C2×C59—81no—
860C2×C59—81no—
861C2×C59C2×#52511yescharacteristic
862C2×C59#345511yescharacteristic
863C2×C59#346011yescharacteristic
864C2×C59#348511yescharacteristic
865C2×C59#348811yescharacteristic
866C2×C59#351411yescharacteristic
867C2×C59#352111yescharacteristic
868C22×#41C22×C5911yescharacteristic
869#538—28no—
870C2×#126C22×C5911yescharacteristic
871C2×#126C22×C5911yescharacteristic
872C2×#124C22×C5911yescharacteristic
873C2×#124C22×C5911yescharacteristic
874C2×#123C22×C5911yescharacteristic
875C2×#123C22×C5911yescharacteristic
876C2×#123C22×C5911yescharacteristic
877C2×#123C22×C5911yescharacteristic
878C2×#123C22×C5911yescharacteristic, complemented
879C2×C22⋊Q8C22×C5911yescharacteristic
880C2×C22⋊Q8C22×C5911yescharacteristic, complemented
881C2×#121C22×C5911yescharacteristic
882C2×#121C22×C5911yescharacteristic
883C2×#121C22×C5911yescharacteristic
884C2×#121C22×C5911yescharacteristic
885C2×#121C22×C5911yescharacteristic
886C2×#120C22×C5911yescharacteristic
887C2×#120C22×C5911yescharacteristic
888C2×#120C22×C5911yescharacteristic
889C4×#41—28no—
890C2×C4×Q8C22×C5911yescharacteristic, complemented
891C2×C4×Q8C22×C5911yescharacteristic, complemented
892C2×C4×D4C22×C5911yescharacteristic
893C2×C4×D4C22×C5911yescharacteristic
894C2×C4×D4C22×C5911yescharacteristic
895C2×C4×D4C22×C5911yescharacteristic
896C2×C4×D4C22×C5911yescharacteristic
897C2×C4×D4C22×C5911yescharacteristic, complemented
898C2×C4×D4C22×C5911yescharacteristic, complemented
899C2×#117C22×C5911yescharacteristic
900C2×#117C22×C5911yescharacteristic, complemented
901C2×#117C22×C5911yescharacteristic, complemented
902C22×C4⋊C4C22×C5911yescharacteristic
903C22×C22⋊C4C22×C5911yescharacteristic
904C22×C22⋊C4C22×C5911yescharacteristic
905C22×C22⋊C4C22×C5911yescharacteristic
906C22×C42C22×C5911yescharacteristic
907C22×C42C22×C5911yescharacteristic, complemented
908C22×C42C22×C5911yescharacteristic, complemented
909#400C22×C5911yescharacteristic, complemented
910#399C22×C5911yescharacteristic
911#399C22×C5911yescharacteristic, complemented
912#399C22×C5911yescharacteristic, complemented
913#398C22×C5911yescharacteristic, complemented
914#398C22×C5911yescharacteristic, complemented
915#398C22×C5911yescharacteristic, complemented
916#398C22×C5911yescharacteristic, complemented
917#397C22×C5911yescharacteristic
918#397C22×C5911yescharacteristic, complemented
919#396C22×C5911yescharacteristic
920#396C22×C5911yescharacteristic
921#396C22×C5911yescharacteristic
922#396C22×C5911yescharacteristic, complemented
923#395C22×C5911yescharacteristic, complemented
924#395C22×C5911yescharacteristic, complemented
925#395C22×C5911yescharacteristic, complemented
926#394C22×C5911yescharacteristic
927#394C22×C5911yescharacteristic
928#394C22×C5911yescharacteristic
929#394C22×C5911yescharacteristic
930#394C22×C5911yescharacteristic
931#394C22×C5911yescharacteristic
932#394C22×C5911yescharacteristic, complemented
933#394C22×C5911yescharacteristic, complemented
934#393C22×C5911yescharacteristic
935#393C22×C5911yescharacteristic
936#393C22×C5911yescharacteristic, complemented
937#392C22×C5911yescharacteristic
938#392C22×C5911yescharacteristic
939#392C22×C5911yescharacteristic
940#392C22×C5911yescharacteristic, complemented
941#391C22×C5911yescharacteristic, complemented
942#390C22×C5911yescharacteristic
943#390C22×C5911yescharacteristic
944#390C22×C5911yescharacteristic
945#390C22×C5911yescharacteristic
946#390C22×C5911yescharacteristic
947#389C22×C5911yescharacteristic, complemented
948#389C22×C5911yescharacteristic, complemented
949#388C22×C5911yescharacteristic
950#388C22×C5911yescharacteristic
951#388C22×C5911yescharacteristic
952#388C22×C5911yescharacteristic
953#388C22×C5911yescharacteristic
954#388C22×C5911yescharacteristic
955#388C22×C5911yescharacteristic
956#388C22×C5911yescharacteristic
957#388C22×C5911yescharacteristic
958#388C22×C5911yescharacteristic
959#388C22×C5911yescharacteristic
960#388C22×C5911yescharacteristic
961#388C22×C5911yescharacteristic
962#388C22×C5911yescharacteristic
963#388C22×C5911yescharacteristic
964#388C22×C5911yescharacteristic
965#388C22×C5911yescharacteristic
966#388C22×C5911yescharacteristic, complemented
967#388C22×C5911yescharacteristic, complemented
968#388C22×C5911yescharacteristic, complemented
969#388C22×C5911yescharacteristic, complemented
970#388C22×C5911yescharacteristic, complemented
971#388C22×C5911yescharacteristic, complemented
972#388C22×C5911yescharacteristic, complemented
973#387C22×C5911yescharacteristic, complemented
974#387C22×C5911yescharacteristic, complemented
975#387C22×C5911yescharacteristic, complemented
976#387C22×C5911yescharacteristic, complemented
977#387C22×C5911yescharacteristic, complemented
978#387C22×C5911yescharacteristic, complemented
979#387C22×C5911yescharacteristic, complemented
980#387C22×C5911yescharacteristic, complemented
981#387C22×C5911yescharacteristic, complemented
982#387C22×C5911yescharacteristic, complemented
983#386C22×C5911yescharacteristic
984#386C22×C5911yescharacteristic
985#386C22×C5911yescharacteristic
986#386C22×C5911yescharacteristic
987#386C22×C5911yescharacteristic
988#386C22×C5911yescharacteristic
989#386C22×C5911yescharacteristic
990#386C22×C5911yescharacteristic
991#386C22×C5911yescharacteristic
992#386C22×C5911yescharacteristic
993#386C22×C5911yescharacteristic
994#386C22×C5911yescharacteristic
995#386C22×C5911yescharacteristic
996#386C22×C5911yescharacteristic
997#386C22×C5911yescharacteristic, complemented
998#386C22×C5911yescharacteristic, complemented
999#386C22×C5911yescharacteristic, complemented
1000#386C22×C5911yescharacteristic, complemented
1001#385C22×C5911yescharacteristic
1002#385C22×C5911yescharacteristic
1003#385C22×C5911yescharacteristic
1004#385C22×C5911yescharacteristic
1005#385C22×C5911yescharacteristic, complemented
1006#385C22×C5911yescharacteristic, complemented
1007#385C22×C5911yescharacteristic, complemented
1008#385C22×C5911yescharacteristic, complemented
1009#385C22×C5911yescharacteristic, complemented
1010#385C22×C5911yescharacteristic, complemented
1011#383C22×C5911yescharacteristic, complemented
1012#382C22×C5911yescharacteristic, complemented
1013#381C22×C5911yescharacteristic
1014#381C22×C5911yescharacteristic, complemented
1015#380C22×C5911yescharacteristic
1016#380C22×C5911yescharacteristic, complemented
1017#379C22×C5911yescharacteristic
1018C4×C4⋊C4C22×C5911yescharacteristic, complemented
1019C4×C4⋊C4C22×C5911yescharacteristic, complemented
1020C4×C22⋊C4C22×C5911yescharacteristic
1021C4×C22⋊C4C22×C5911yescharacteristic, complemented
1022C4×C22⋊C4C22×C5911yescharacteristic, complemented
1023C2×#95C22×C5911yescharacteristic
1024C2×#95C22×C5911yescharacteristic
1025C59#3509511yescharacteristic, direct product factor, Sylow
1026C25C23×C5911yescharacteristic
1027C2×#41—24no—
1028C2×#41—24no—
1029C2×#41—24no—
1030C22×Q8C23×C5911yescharacteristic
1031C22×Q8C23×C5911yescharacteristic
1032C22×D4C23×C5911yescharacteristic
1033C22×D4C23×C5911yescharacteristic
1034C22×D4C23×C5911yescharacteristic
1035C22×D4C23×C5911yescharacteristic
1036C22×D4C23×C5911yescharacteristic
1037C22×D4C23×C5911yescharacteristic
1038C22×D4C23×C5911yescharacteristic
1039C22×D4C23×C5911yescharacteristic
1040C22×D4C23×C5911yescharacteristic
1041C22×D4C23×C5911yescharacteristic
1042C22×D4C23×C5911yescharacteristic
1043C22×D4C23×C5911yescharacteristic
1044C23×C4C23×C5911yescharacteristic
1045C23×C4C23×C5911yescharacteristic
1046C23×C4C23×C5911yescharacteristic
1047C23×C4C23×C5911yescharacteristic
1048C23×C4C23×C5911yescharacteristic
1049C23×C4C23×C5911yescharacteristic
1050C23×C4C23×C5911yescharacteristic
1051C23×C4C23×C5911yescharacteristic
1052C23×C4C23×C5911yescharacteristic
1053C23×C4C23×C5911yescharacteristic
1054C23×C4C23×C5911yescharacteristic
1055C23×C4C23×C5911yescharacteristic
1056C23×C4C23×C5911yescharacteristic
1057#126—24no—
1058#126—24no—
1059#124—24no—
1060#124—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—42no—
1065#123—42no—
1066C22⋊Q8—24no—
1067C22⋊Q8—42no—
1068#121—24no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—42no—
1073#120—24no—
1074#120—24no—
1075#120—24no—
1076C4×Q8—24no—
1077C4×Q8—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4D4×C5918yescomplemented
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088C2×C4⋊C4—42no—
1089C2×C4⋊C4C23×C5911yescharacteristic
1090C2×C4⋊C4C23×C5911yescharacteristic
1091C2×C4⋊C4C23×C5911yescharacteristic
1092C2×C4⋊C4C23×C5911yescharacteristic
1093C2×C4⋊C4C23×C5911yescharacteristic
1094C2×C4⋊C4C23×C5911yescharacteristic
1095C2×C4⋊C4C23×C5911yescharacteristic
1096C2×C4⋊C4C23×C5911yescharacteristic
1097C2×C4⋊C4C23×C5911yescharacteristic
1098C2×C4⋊C4C23×C5911yescharacteristic
1099C2×C4⋊C4C23×C5911yescharacteristic
1100C2×C4⋊C4C23×C5911yescharacteristic
1101C2×C4⋊C4C23×C5911yescharacteristic
1102C2×C4⋊C4C23×C5911yescharacteristic
1103C2×C4⋊C4C23×C5911yescharacteristic
1104C2×C4⋊C4C23×C5911yescharacteristic
1105C2×C4⋊C4C23×C5911yescharacteristic
1106C2×C4⋊C4C23×C5911yescharacteristic
1107C2×C4⋊C4C23×C5911yescharacteristic
1108C2×C4⋊C4C23×C5911yescharacteristic
1109C2×C4⋊C4C23×C5911yescharacteristic
1110C2×C4⋊C4C23×C5911yescharacteristic
1111C2×C4⋊C4C23×C5911yescharacteristic
1112C2×C4⋊C4C23×C5911yescharacteristic
1113C2×C4⋊C4C23×C5911yescharacteristic
1114C2×C4⋊C4C23×C5911yescharacteristic
1115C2×C4⋊C4C23×C5911yescharacteristic
1116C2×C4⋊C4C23×C5911yescharacteristic
1117C2×C22⋊C4—24no—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4C23×C5911yescharacteristic
1121C2×C22⋊C4C23×C5911yescharacteristic
1122C2×C22⋊C4C23×C5911yescharacteristic
1123C2×C22⋊C4C23×C5911yescharacteristic
1124C2×C22⋊C4C23×C5911yescharacteristic
1125C2×C22⋊C4C23×C5911yescharacteristic
1126C2×C22⋊C4C23×C5911yescharacteristic
1127C2×C22⋊C4C23×C5911yescharacteristic
1128C2×C22⋊C4C23×C5911yescharacteristic
1129C2×C22⋊C4C23×C5911yescharacteristic
1130C2×C22⋊C4C23×C5911yescharacteristic
1131C2×C22⋊C4C23×C5911yescharacteristic
1132C2×C22⋊C4C23×C5911yescharacteristic
1133C2×C22⋊C4C23×C5911yescharacteristic
1134C2×C22⋊C4C23×C5911yescharacteristic
1135C2×C22⋊C4C23×C5911yescharacteristic
1136C2×C22⋊C4C23×C5911yescharacteristic
1137C2×C22⋊C4C23×C5911yescharacteristic
1138C2×C22⋊C4C23×C5911yescharacteristic
1139C2×C22⋊C4C23×C5911yescharacteristic
1140C2×C22⋊C4C23×C5911yescharacteristic
1141C2×C22⋊C4C23×C5911yescharacteristic
1142C2×C22⋊C4C23×C5911yescharacteristic
1143C2×C22⋊C4C23×C5911yescharacteristic
1144C2×C22⋊C4C23×C5911yescharacteristic
1145C2×C22⋊C4C23×C5911yescharacteristic
1146C2×C22⋊C4C23×C5911yescharacteristic
1147C2×C22⋊C4C23×C5911yescharacteristic
1148C2×C22⋊C4C23×C5911yescharacteristic
1149C2×C22⋊C4C23×C5911yescharacteristic
1150C2×C22⋊C4C23×C5911yescharacteristic
1151C2×C22⋊C4C23×C5911yescharacteristic
1152C2×C22⋊C4C23×C5911yescharacteristic
1153C2×C22⋊C4C23×C5911yescharacteristic
1154C2×C22⋊C4C23×C5911yescharacteristic
1155C2×C22⋊C4C23×C5911yescharacteristic
1156C2×C22⋊C4C23×C5911yescharacteristic
1157C2×C22⋊C4C23×C5911yescharacteristic
1158C2×C22⋊C4C23×C5911yescharacteristic
1159C2×C22⋊C4C23×C5911yescharacteristic
1160C2×C22⋊C4C23×C5911yescharacteristic
1161C2×C22⋊C4C23×C5911yescharacteristic
1162C2×C22⋊C4C23×C5911yescharacteristic
1163C2×C22⋊C4C23×C5911yescharacteristic
1164C2×C22⋊C4C23×C5911yescharacteristic
1165C2×C22⋊C4C23×C5911yescharacteristic
1166C2×C22⋊C4C23×C5911yescharacteristic
1167C2×C22⋊C4C23×C5911yescharacteristic
1168C2×C22⋊C4C23×C5911yescharacteristic
1169C2×C22⋊C4C23×C5911yescharacteristic
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42C23×C5911yescharacteristic
1174C2×C42C23×C5911yescharacteristic
1175C2×C42C23×C5911yescharacteristic
1176C2×C42C23×C5911yescharacteristic
1177C2×C42C23×C5911yescharacteristic
1178C2×C42C23×C5911yescharacteristic
1179C2×C42C23×C5911yescharacteristic
1180C2×C42C23×C5911yescharacteristic
1181C2×C42C23×C5911yescharacteristic
1182C2×C42C23×C5911yescharacteristic
1183C2×C42C23×C5911yescharacteristic
1184C2×C42C23×C5911yescharacteristic
1185C2×C42C23×C5911yescharacteristic
1186#95C23×C5911yescharacteristic
1187#95C23×C5911yescharacteristic
1188#95C23×C5911yescharacteristic
1189#95C23×C5911yescharacteristic
1190#95C23×C5911yescharacteristic
1191#95C23×C5911yescharacteristic
1192#95C23×C5911yescharacteristic
1193#95C23×C5911yescharacteristic
1194#95C23×C5911yescharacteristic
1195#95C23×C5911yescharacteristic
1196#95C23×C5911yescharacteristic
1197#95C23×C5911yescharacteristic
1198#95C23×C5911yescharacteristic
1199#95C23×C5911yescharacteristic
1200#95C23×C5911yescharacteristic
1201#95C23×C5911yescharacteristic
1202#95C23×C5911yescharacteristic
1203#95C23×C5911yescharacteristic
1204#95C23×C5911yescharacteristic
1205#95C23×C5911yescharacteristic
1206#95C23×C5911yescharacteristic
1207#95C23×C5911yescharacteristic
1208#95C23×C5911yescharacteristic
1209#95C23×C5911yescharacteristic
1210#95C23×C5911yescharacteristic
1211#95C23×C5911yescharacteristic
1212#95C23×C5911yescharacteristic
1213#95C23×C5911yescharacteristic
1214#95C23×C5911yescharacteristic
1215#95C23×C5911yescharacteristic
1216#95C23×C5911yescharacteristic
1217#95C23×C5911yescharacteristic
1218#95C23×C5911yescharacteristic
1219#95C23×C5911yescharacteristic
1220#95C23×C5911yescharacteristic
1221#95C23×C5911yescharacteristic
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24C24×C5911yescharacteristic
1230C24C24×C5911yescharacteristic
1231C24C24×C5911yescharacteristic
1232C24C24×C5911yescharacteristic
1233C24C24×C5911yescharacteristic
1234C24C24×C5911yescharacteristic
1235#41—232no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4C2×D4×C5914yes—
1277C2×D4#41×C5914yes—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4C2×D4×C5914yes—
1315C22×C4C2×D4×C5914yes—
1316C22×C4#41×C5914yes—
1317C22×C4C24×C5911yescharacteristic
1318C22×C4C24×C5911yescharacteristic
1319C22×C4C24×C5911yescharacteristic
1320C22×C4C24×C5911yescharacteristic
1321C22×C4C24×C5911yescharacteristic
1322C22×C4C24×C5911yescharacteristic
1323C22×C4C24×C5911yescharacteristic
1324C22×C4C24×C5911yescharacteristic
1325C22×C4C24×C5911yescharacteristic
1326C22×C4C24×C5911yescharacteristic
1327C22×C4C24×C5911yescharacteristic
1328C22×C4C24×C5911yescharacteristic
1329C22×C4C24×C5911yescharacteristic
1330C22×C4C24×C5911yescharacteristic
1331C22×C4C24×C5911yescharacteristic
1332C22×C4C24×C5911yescharacteristic
1333C22×C4C24×C5911yescharacteristic
1334C22×C4C24×C5911yescharacteristic
1335C22×C4C24×C5911yescharacteristic
1336C22×C4C24×C5911yescharacteristic
1337C22×C4C24×C5911yescharacteristic
1338C22×C4C24×C5911yescharacteristic
1339C22×C4C24×C5911yescharacteristic
1340C22×C4C24×C5911yescharacteristic
1341C22×C4C24×C5911yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4C2×D4×C5914yes—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4C2×D4×C5914yes—
1419C22⋊C4C2×D4×C5914yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—41no—
1431C42—41no—
1432C42C2×D4×C5914yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23C22×D4×C5912yes—
1478C23C22×D4×C5912yes—
1479C23C2×#41×C5912yes—
1480C23C2×#41×C5912yes—
1481C23C2×#41×C5912yes—
1482C23C25×C5911yescharacteristic
1483Q8—28no—
1484Q8—82no—
1485D4—28no—
1486D4—28no—
1487D4—28no—
1488D4—44no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497C2×C4—28no—
1498C2×C4—28no—
1499C2×C4—28no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4C22×D4×C5912yes—
1577C2×C4C22×D4×C5912yes—
1578C2×C4C22×D4×C5912yes—
1579C2×C4C22×D4×C5912yes—
1580C2×C4C22×D4×C5912yes—
1581C2×C4C2×#41×C5912yes—
1582C2×C4C2×#41×C5912yes—
1583C2×C4C2×#41×C5912yes—
1584C2×C4H(5,𝔽2)×C5912yes—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—88no—
1627C22C59×#52514yes—
1628C22C23×D4×C5911yescharacteristic
1629C22C22×#41×C5911yescharacteristic
1630C22C22×#41×C5911yescharacteristic
1631C22C2×H(5,𝔽2)×C5911yescharacteristic
1632C22C59×#58511yescharacteristic
1633C22C59×#58511yescharacteristic
1634C22C59×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C2—24no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C2×C59×#52511yescharacteristic
1667C2C59×#345511yescharacteristic
1668C2C59×#346011yescharacteristic
1669C2C59×#348511yescharacteristic
1670C2C59×#348811yescharacteristic
1671C2C59×#351411yescharacteristic
1672C2C59×#352111yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×C59×#538C2semidirect
2. C2×C4×#41×C59C2semidirect
3. C59×#2854C2semidirect
4. C59×#2853C2semidirect
5. C59×#2852C2semidirect
6. C59×#2850C2semidirect
7. C59×#2637C2semidirect
8. C59×#2635C2semidirect
9. C59×#2632C2semidirect
10. C59×#2630C2semidirect
11. C59×#2479C2semidirect
12. C59×#2476C2semidirect
13. C59×#2474C2semidirect
14. C59×#2471C2semidirect
15. C59×#2469C2semidirect
16. C59×#2464C2semidirect
17. C59×#2461C2semidirect
18. C59×#2458C2semidirect
19. C59×#2449C2semidirect
20. C59×#2443C2semidirect
21. C59×#2438C2semidirect
22. C59×#2430C2semidirect
23. C59×#2424C2semidirect
24. C59×#2418C2semidirect
25. C59×#2411C2semidirect
26. C59×#2404C2semidirect
27. C59×#2325C2semidirect
28. C59×#2321C2semidirect
29. C59×#2318C2semidirect
30. C4×#123×C59C2semidirect
31. C2×C59×#388C2semidirect
42. C2×#123×C59C22semidirect
44. C2×C22⋊Q8×C59C22semidirect
54. C2×C4×Q8×C59C22semidirect
55. C2×C4×Q8×C59C22semidirect
61. C2×C4×D4×C59C22semidirect
62. C2×C4×D4×C59C22semidirect
64. C2×#117×C59C22semidirect
65. C2×#117×C59C22semidirect
71. C22×C42×C59C22semidirect
72. C22×C42×C59C22semidirect
73. C59×#400C22semidirect
75. C59×#399C22semidirect
76. C59×#399C22semidirect
77. C59×#398C22semidirect
78. C59×#398C22semidirect
79. C59×#398C22semidirect
80. C59×#398C22semidirect
82. C59×#397C22semidirect
86. C59×#396C22semidirect
87. C59×#395C22semidirect
88. C59×#395C22semidirect
89. C59×#395C22semidirect
96. C59×#394C22semidirect
97. C59×#394C22semidirect
100. C59×#393C22semidirect
104. C59×#392C22semidirect
105. C59×#391C22semidirect
111. C59×#389C22semidirect
112. C59×#389C22semidirect
130. C59×#388C22semidirect
131. C59×#388C22semidirect
132. C59×#388C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#388C22semidirect
136. C59×#388C22semidirect
137. C59×#387C22semidirect
138. C59×#387C22semidirect
139. C59×#387C22semidirect
140. C59×#387C22semidirect
141. C59×#387C22semidirect
142. C59×#387C22semidirect
143. C59×#387C22semidirect
144. C59×#387C22semidirect
145. C59×#387C22semidirect
146. C59×#387C22semidirect
161. C59×#386C22semidirect
162. C59×#386C22semidirect
163. C59×#386C22semidirect
164. C59×#386C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
171. C59×#385C22semidirect
172. C59×#385C22semidirect
173. C59×#385C22semidirect
174. C59×#385C22semidirect
175. C59×#383C22semidirect
176. C59×#382C22semidirect
178. C59×#381C22semidirect
180. C59×#380C22semidirect
182. C4×C4⋊C4×C59C22semidirect
183. C4×C4⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
247. C4×D4×C59D4semidirect
748. #35095C59direct (N × H)
824. C2×#538C2×C59semidirect
825. C2×C4×#41C2×C59semidirect
826. #2854C2×C59semidirect
827. #2853C2×C59semidirect
828. #2852C2×C59semidirect
829. #2850C2×C59semidirect
830. #2637C2×C59semidirect
831. #2635C2×C59semidirect
832. #2632C2×C59semidirect
833. #2630C2×C59semidirect
834. #2479C2×C59semidirect
835. #2476C2×C59semidirect
836. #2474C2×C59semidirect
837. #2471C2×C59semidirect
838. #2469C2×C59semidirect
839. #2464C2×C59semidirect
840. #2461C2×C59semidirect
841. #2458C2×C59semidirect
842. #2449C2×C59semidirect
843. #2443C2×C59semidirect
844. #2438C2×C59semidirect
845. #2430C2×C59semidirect
846. #2424C2×C59semidirect
847. #2418C2×C59semidirect
848. #2411C2×C59semidirect
849. #2404C2×C59semidirect
850. #2325C2×C59semidirect
851. #2321C2×C59semidirect
852. #2318C2×C59semidirect
853. C4×#123C2×C59semidirect
854. C2×#388C2×C59semidirect
878. C2×#123C22×C59semidirect
880. C2×C22⋊Q8C22×C59semidirect
890. C2×C4×Q8C22×C59semidirect
891. C2×C4×Q8C22×C59semidirect
897. C2×C4×D4C22×C59semidirect
898. C2×C4×D4C22×C59semidirect
900. C2×#117C22×C59semidirect
901. C2×#117C22×C59semidirect
907. C22×C42C22×C59semidirect
908. C22×C42C22×C59semidirect
909. #400C22×C59semidirect
911. #399C22×C59semidirect
912. #399C22×C59semidirect
913. #398C22×C59semidirect
914. #398C22×C59semidirect
915. #398C22×C59semidirect
916. #398C22×C59semidirect
918. #397C22×C59semidirect
922. #396C22×C59semidirect
923. #395C22×C59semidirect
924. #395C22×C59semidirect
925. #395C22×C59semidirect
932. #394C22×C59semidirect
933. #394C22×C59semidirect
936. #393C22×C59semidirect
940. #392C22×C59semidirect
941. #391C22×C59semidirect
947. #389C22×C59semidirect
948. #389C22×C59semidirect
966. #388C22×C59semidirect
967. #388C22×C59semidirect
968. #388C22×C59semidirect
969. #388C22×C59semidirect
970. #388C22×C59semidirect
971. #388C22×C59semidirect
972. #388C22×C59semidirect
973. #387C22×C59semidirect
974. #387C22×C59semidirect
975. #387C22×C59semidirect
976. #387C22×C59semidirect
977. #387C22×C59semidirect
978. #387C22×C59semidirect
979. #387C22×C59semidirect
980. #387C22×C59semidirect
981. #387C22×C59semidirect
982. #387C22×C59semidirect
997. #386C22×C59semidirect
998. #386C22×C59semidirect
999. #386C22×C59semidirect
1000. #386C22×C59semidirect
1005. #385C22×C59semidirect
1006. #385C22×C59semidirect
1007. #385C22×C59semidirect
1008. #385C22×C59semidirect
1009. #385C22×C59semidirect
1010. #385C22×C59semidirect
1011. #383C22×C59semidirect
1012. #382C22×C59semidirect
1014. #381C22×C59semidirect
1016. #380C22×C59semidirect
1018. C4×C4⋊C4C22×C59semidirect
1019. C4×C4⋊C4C22×C59semidirect
1021. C4×C22⋊C4C22×C59semidirect
1022. C4×C22⋊C4C22×C59semidirect
1025. C59#35095direct (N × H)
1084. C4×D4D4×C59semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C59×#5382
C2×C4×#41×C592
C59×#28542
C59×#28532
C59×#28522
C59×#28502
C59×#26372
C59×#26352
C59×#26322
C59×#26302
C59×#24792
C59×#24762
C59×#24742
C59×#24712
C59×#24692
C59×#24642
C59×#24612
C59×#24582
C59×#24492
C59×#24432
C59×#24382
C59×#24302
C59×#24242
C59×#24182
C59×#24112
C59×#24042
C59×#23252
C59×#23212
C59×#23182
C4×#123×C592
C2×C59×#3882
#3509559